Author: Jay Rosen 1
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  • 1 Department of Mathematics College of Staten Island, CUNY Staten Island, NY 10314 USA
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Summary For the simple random walk in \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $\mathbb{Z}^2$ \end{document} we study those points which are visited an unusually large number of times, and provide a new proof of the Erdős-Taylor Conjecture describing the number of visits to the most visited point.

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